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Finding the Fourth Proportional to 335,317.86, 462,729.24 and 184,414.86

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Solution

The fourth proportional to 335,317.86, 462,729.24 and 184,414.86 is: 254,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,317.86 : 462,729.24 = 184,414.86 : x
  2. Step 2: Convert to fraction form
    335,317.86/462,729.24 = 184,414.86/x
  3. Step 3: Cross multiply
    335,317.86x = 462,729.24 × 184,414.86
  4. Step 4: Simplify right side
    335,317.86x = 85,334,148,012.51
  5. Step 5: Solve for x
    x = 85,334,148,012.51/335,317.86
  6. Step 6: Final answer
    x = 254,487.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.